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Finding the Fourth Proportional to 71,221.76, 106,757.31 and 26,829.31

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Solution

The fourth proportional to 71,221.76, 106,757.31 and 26,829.31 is: 40,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,221.76 : 106,757.31 = 26,829.31 : x
  2. Step 2: Convert to fraction form
    71,221.76/106,757.31 = 26,829.31/x
  3. Step 3: Cross multiply
    71,221.76x = 106,757.31 × 26,829.31
  4. Step 4: Simplify right side
    71,221.76x = 2,864,224,964.76
  5. Step 5: Solve for x
    x = 2,864,224,964.76/71,221.76
  6. Step 6: Final answer
    x = 40,215.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.